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Math
GeometryElementary Geometry for College Students6th Edition

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Chapter 3.3, Problem 8E
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Elementary Geometry for College St...

6th Edition
Daniel C. Alexander + 1 other
ISBN: 9781285195698

Solutions

Chapter
Section
Problem 1E
Problem 2E
Problem 3E
Problem 4E
Problem 5E
Problem 6E
Problem 7E
Problem 8E
Problem 9E
Problem 10E
Problem 11E
Problem 12E
Problem 13E
Problem 14E
Problem 15E
Problem 16E
Problem 17E
Problem 18E
Problem 19E
Problem 20E
Problem 21E
Problem 22E
Problem 23E
Problem 24E
Problem 25E
Problem 26E
Problem 27E
Problem 28E
Problem 29E
Problem 30E
Problem 31E
Problem 32E
Problem 33E
Problem 34E
Problem 35E
Problem 36E
Problem 37E
Problem 38E
Problem 39E
Problem 40E
Problem 41E
Problem 42E
Problem 43E
Problem 44E
Problem 45E
Problem 46E
Problem 47E
Problem 48E
BuyFindarrow_forward

Elementary Geometry for College St...

6th Edition
Daniel C. Alexander + 1 other
ISBN: 9781285195698
Textbook Problem
1 views

For Exercises 1 to 8, use the accompanying drawing.

If V U ¯ ≅ V T ¯ and m ∠ V = 40 ° , find m ∠ T .

Chapter 3.3, Problem 8E, For Exercises 1 to 8, use the accompanying drawing. If VUVT and mV=40, find mT.

To determine

To find:

The value of m∠T.

Explanation

Procedure used:

(1) If two sides of a triangle are congruent then angles corresponding to the sides are also congruent to each other.

(2) The sum of measure of angles of a triangle is equal to 180°.

Given:

The given triangle is,

Figure (1)

And,

VU¯≅VT¯, m∠V=40°.

Calculation:

Consider the triangle with congruent sides VU¯ and VT¯.

Figure (2)

Equate sum of measure of angles of triangle to 180°

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